Circle-identify Radius And Diameter.

1) What is the radius of a circle with a diameter of 20?

7

10

12

The radius of a circle is half of its diameter. Since the diameter of the circle is given as 20, the radius would be half of 20, which is 10.

Explanation

The radius of a circle is half of its diameter. Since the diameter of the circle is given as 20, the radius would be half of 20, which is 10.

2) What is the radius of a circle with a diameter 40?

15

18

20

The radius of a circle is half of its diameter. Given that the diameter is 40, we can calculate the radius by dividing the diameter by 2. Therefore, the radius of the circle is 20.

Explanation

The radius of a circle is half of its diameter. Given that the diameter is 40, we can calculate the radius by dividing the diameter by 2. Therefore, the radius of the circle is 20.

3) What is the radius of a circle with a diameter 18?

7

9

3

The radius of a circle is half of its diameter. In this case, the diameter is given as 18. Therefore, the radius would be half of 18, which is 9.

Explanation

The radius of a circle is half of its diameter. In this case, the diameter is given as 18. Therefore, the radius would be half of 18, which is 9.

4) What is the diameter of the following circle?

6

5

3

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circumference. In this case, the given answer of 6 suggests that the circle has a diameter of 6 units.

Explanation

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circumference. In this case, the given answer of 6 suggests that the circle has a diameter of 6 units.

5) What is the name of the circle?

A

B

AA

The correct answer is A because it is the only option provided that is a single letter and does not have any additional characters or repetitions.

Explanation

The correct answer is A because it is the only option provided that is a single letter and does not have any additional characters or repetitions.

6) What is the diameter of a circle with a radius of 10?

15

20

10

The diameter of a circle is always twice the length of its radius. Since the radius of this circle is given as 10, the diameter will be 2 times 10, which equals 20.

Explanation

The diameter of a circle is always twice the length of its radius. Since the radius of this circle is given as 10, the diameter will be 2 times 10, which equals 20.

7) What is the diameter of a circle with a radius of 32?

64

45

67

The diameter of a circle is twice the length of its radius. Therefore, if the radius of the circle is 32, the diameter would be 2 times 32, which equals 64.

Explanation

The diameter of a circle is twice the length of its radius. Therefore, if the radius of the circle is 32, the diameter would be 2 times 32, which equals 64.

8) What is the diameter of a circle with a radius of 15?

30

20

10

The diameter of a circle is twice the length of its radius. Since the radius of the given circle is 15 units, the diameter would be 2 times 15, which equals 30 units.

Explanation

The diameter of a circle is twice the length of its radius. Since the radius of the given circle is 15 units, the diameter would be 2 times 15, which equals 30 units.

9) What is the radius of the following circle?

8

6

4

The radius of a circle is the distance from the center of the circle to any point on its circumference. In this case, the given answer of 4 indicates that the radius of the circle is 4 units.

Explanation

The radius of a circle is the distance from the center of the circle to any point on its circumference. In this case, the given answer of 4 indicates that the radius of the circle is 4 units.

10) What is the diameter of a circle with a radius of 12?

10

22

24

The diameter of a circle is twice the length of its radius. Therefore, if the radius of the circle is 12, the diameter would be 24.

Explanation

The diameter of a circle is twice the length of its radius. Therefore, if the radius of the circle is 12, the diameter would be 24.

11) What is the diameter of the following circle?

2

4

5

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circumference. In this case, the only option that represents a possible diameter is 4.

Explanation

The diameter of a circle is a line segment that passes through the center of the circle and connects two points on the circumference. In this case, the only option that represents a possible diameter is 4.

12) The diameter of a circle is twice as long as the radius.

True

False

The statement is true because the diameter of a circle is always equal to twice the length of its radius. This relationship is constant for all circles, regardless of their size. Therefore, it can be concluded that the diameter is indeed twice as long as the radius.

Explanation

The statement is true because the diameter of a circle is always equal to twice the length of its radius. This relationship is constant for all circles, regardless of their size. Therefore, it can be concluded that the diameter is indeed twice as long as the radius.

13) What is the diameter of a circle with a radius of 16?

20

32

8

The diameter of a circle is equal to twice the radius. Therefore, if the radius of the circle is 16, the diameter would be 2 times 16, which is equal to 32.

Explanation

The diameter of a circle is equal to twice the radius. Therefore, if the radius of the circle is 16, the diameter would be 2 times 16, which is equal to 32.

14) The diameter of a circle goes through the center of the circle.

True

False

The diameter of a circle is a line segment that passes through the center of the circle and is twice the length of the radius. It divides the circle into two equal halves, and any point on the diameter is equidistant from the endpoints of the diameter. Therefore, the statement that the diameter of a circle goes through the center of the circle is true.

Explanation

The diameter of a circle is a line segment that passes through the center of the circle and is twice the length of the radius. It divides the circle into two equal halves, and any point on the diameter is equidistant from the endpoints of the diameter. Therefore, the statement that the diameter of a circle goes through the center of the circle is true.

15) What is the diameter of the figure?

7

9

8

6

The diameter of a circle is twice the length of its radius. Given a radius of 4 cm, you can calculate the diameter by multiplying the radius by 2:

Diameter=2×radius=2×4 cm=8 cm

Thus, the diameter of a circle with a 4 cm radius is 8 cm. The correct answer is B. 8 cm.

Explanation

The diameter of a circle is twice the length of its radius. Given a radius of 4 cm, you can calculate the diameter by multiplying the radius by 2:

Diameter=2×radius=2×4 cm=8 cm

Thus, the diameter of a circle with a 4 cm radius is 8 cm. The correct answer is B. 8 cm.

16)

What is the radius of the circle?

10

14

7

The correct answer is 7 because the radius of a circle is the distance from the center of the circle to any point on its circumference. Since 7 is the only option that represents a possible radius, it must be the correct answer.

Explanation

The correct answer is 7 because the radius of a circle is the distance from the center of the circle to any point on its circumference. Since 7 is the only option that represents a possible radius, it must be the correct answer.